I think the priority will be:
League
Europa
FA Cup
League Cup
But yeah, the top two are much more important and if we get to the latter stages of the EL then it may overtake the league too.
Just bin off the League Cup as soon as we can - this year's winners don't even qualify for the Europa League. They go into the newly formed Europa Conference League - the winners of that competition go into the Europa League the following season.
Premier League teams join the Carabao Cup at the second-round stage knowing the tournament's winners will enter a new European competition.
www.bbc.co.uk
What a pointless competition, and will see English teams deprioritise League Cup even more.